113171 ÷ 67 
We want to figure out the number of times 113171 can be divided by 67.

Going ahead to step 1:
If we divide 1 by 67, we get 0 and a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 67

On to step 2:
67 can be fit into 11 0 times, resulting in a remainder of 11.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 11, we end up with 11.
Bring next digit (3) of the dividend behind the 11 and repeat the process: 113 / 67

Advancing to step 3:
67 can be fit into 113 1 times, resulting in a remainder of 46.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 67 from 113, we get 46.
Grab the next digit (1) from the dividend, add it to 46, then carry on: 461 / 67

Going ahead to step 4:
When dividing 461 by 67, we get 6 with a remainder of 59.
Put 6 as the next digit of the answer. 
Result so far: 16.0
If we take 402 away from 461, we end up with 59.
Fetch the next digit (7) from the dividend, attach it to 59 and continue: 597 / 67

Advancing to step 5:
597 divided by 67 is 8 with a remainder of 61.
Put 8 as the next digit of the answer. 
Result so far: 168.0
If we take 536 away from 597, we end up with 61.
Grab the next digit (1) from the dividend, add it to 61, then carry on: 611 / 67

Advancing to step 6:
If we divide 611 by 67, we get 9 and a remainder of 8.
Use 9 as the next digit of our solution. 
Result so far: 1689.0
Subtract 603 from 611 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 7:
80 divided by 67 is 1 with a remainder of 13.
The next digit of our result is 1. 
Result so far: 1689.1
If we subtract 67 from 80, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 8:
When dividing 130 by 67, we get 1 with a remainder of 63.
Record the quotient 1 as the next digit in the result. 
Result so far: 1689.11
If we take 67 away from 130, we end up with 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

The quotient of the division is 1689.11, and the remainder is 0.063.